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Finding the Third Proportional to 829,307,106 and 1,814,818,500

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Solution

The third proportional to 829,307,106 and 1,814,818,500 is: 3,971,467,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,307,106 : 1,814,818,500 = 1,814,818,500 : x
  2. Step 2: Convert to fraction form
    829,307,106/1,814,818,500 = 1,814,818,500/x
  3. Step 3: Cross multiply
    829,307,106x = 1,814,818,500 × 1,814,818,500
  4. Step 4: Simplify right side
    829,307,106x = 3,293,566,187,942,249,984
  5. Step 5: Solve for x
    x = 3,293,566,187,942,249,984/829,307,106
  6. Step 6: Final answer
    x = 3,971,467,462.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.